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Finding the Fourth Proportional to 98,967.21, 136,576.49 and 53,646.69

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Solution

The fourth proportional to 98,967.21, 136,576.49 and 53,646.69 is: 74,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,967.21 : 136,576.49 = 53,646.69 : x
  2. Step 2: Convert to fraction form
    98,967.21/136,576.49 = 53,646.69/x
  3. Step 3: Cross multiply
    98,967.21x = 136,576.49 × 53,646.69
  4. Step 4: Simplify right side
    98,967.21x = 7,326,877,095.88
  5. Step 5: Solve for x
    x = 7,326,877,095.88/98,967.21
  6. Step 6: Final answer
    x = 74,033.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.